6 papers
On dualizability and invertibility in the higher Morita category
Claudia Scheimbauer, Pelle Steffens, William Stewart
We prove a conjecture of Lurie characterizing -dualizability in higher Morita categories of -algebras in terms of dualizability over certain factorization homo…
Fully local Reshetikhin-Turaev theories
Daniel S. Freed, Claudia I. Scheimbauer, Constantin Teleman
Completing an arc of research initiated by Reshetikhin--Turaev and Witten, we construct fully local 3-dimensional topological field theories from non-degenerate braided fusion cate…
Dagger -categories
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd +8
Category theory provides a unified language for organizing composable operations in many disciplines. In disciplines where unitarity is fundamental -- such as functional analysis,…
Assembly of Constructible Factorization Algebras
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras o…
Relative field theories via relative dualizability
Claudia Scheimbauer, Thomas Stempfhuber
We investigate relative versions of dualizability designed for relative versions of topological field theories (TFTs), also called twisted TFTs, or quiche TFTs in the context of sy…
Simons Lectures on Categorical Symmetries
Davi Costa, Clay Córdova, Michele Del Zotto +10
Global Categorical Symmetries are a powerful new tool for analyzing quantum field theories. This volume compiles lecture notes from the 2022 and 2023 summer schools on Global Categ…